三次C-Cardinal样条曲线及曲面  

The Cubic C-Cardinal Spline Curve and Surface

作　　者：吴晓勤[1] 严秀坤[1] 

机构地区：[1]湖南科技大学数学与计算科学学院,湖南湘潭411201

出　　处：《计算机工程与科学》2006年第2期48-50,共3页Computer Engineering & Science

基　　金：湖南省教育厅资助项目(04C215)

摘　　要：本文给出了一组特殊的基函数,由此生成的曲线称为三次C-Cardinal样条曲线,是Cardinal样条曲线的推广,形状调整依赖于参数λ和α。当α→0时,所给的曲线是Cardinal样条曲线。运用张量积讨论了曲面的情形,具有与曲线完全类似的性质。实例表明,该曲线/面可用于曲线曲面造型。A new curve called the cubic e-cardinal spline curve constructed by a set of special cubic basis functions is discussed. The cubic e-cardinal spline curve presents an extension of the cardinal spline curve. Its shape depends on two pararneters ,λ,a, and the limiting case of α→0 is the cardinal spline curve. The surface is constructed with the tensor product method. Its property is analogous with the curve. Examples show that the curve/surface can be used to free-form curves and surface modeling.

关 键 词：C-曲线 Cardinal样条 插值 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]